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Finding the Third Proportional to 63,246.38 and 135,460.13

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Solution

The third proportional to 63,246.38 and 135,460.13 is: 290,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,246.38 : 135,460.13 = 135,460.13 : x
  2. Step 2: Convert to fraction form
    63,246.38/135,460.13 = 135,460.13/x
  3. Step 3: Cross multiply
    63,246.38x = 135,460.13 × 135,460.13
  4. Step 4: Simplify right side
    63,246.38x = 18,349,445,465.02
  5. Step 5: Solve for x
    x = 18,349,445,465.02/63,246.38
  6. Step 6: Final answer
    x = 290,126.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.