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Finding the Third Proportional to 63,461.81 and 135,671.63

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Solution

The third proportional to 63,461.81 and 135,671.63 is: 290,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,461.81 : 135,671.63 = 135,671.63 : x
  2. Step 2: Convert to fraction form
    63,461.81/135,671.63 = 135,671.63/x
  3. Step 3: Cross multiply
    63,461.81x = 135,671.63 × 135,671.63
  4. Step 4: Simplify right side
    63,461.81x = 18,406,789,830.14
  5. Step 5: Solve for x
    x = 18,406,789,830.14/63,461.81
  6. Step 6: Final answer
    x = 290,045.13

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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.