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Finding the Third Proportional to 63,070 and 134,486

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Solution

The third proportional to 63,070 and 134,486 is: 286,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,070 : 134,486 = 134,486 : x
  2. Step 2: Convert to fraction form
    63,070/134,486 = 134,486/x
  3. Step 3: Cross multiply
    63,070x = 134,486 × 134,486
  4. Step 4: Simplify right side
    63,070x = 18,086,484,196
  5. Step 5: Solve for x
    x = 18,086,484,196/63,070
  6. Step 6: Final answer
    x = 286,768.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.