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Finding the Third Proportional to 63,042 and 134,428

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Solution

The third proportional to 63,042 and 134,428 is: 286,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,042 : 134,428 = 134,428 : x
  2. Step 2: Convert to fraction form
    63,042/134,428 = 134,428/x
  3. Step 3: Cross multiply
    63,042x = 134,428 × 134,428
  4. Step 4: Simplify right side
    63,042x = 18,070,887,184
  5. Step 5: Solve for x
    x = 18,070,887,184/63,042
  6. Step 6: Final answer
    x = 286,648.38

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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.