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Finding the Third Proportional to 31,202 and 63,862

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Solution

The third proportional to 31,202 and 63,862 is: 130,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 63,862 = 63,862 : x
  2. Step 2: Convert to fraction form
    31,202/63,862 = 63,862/x
  3. Step 3: Cross multiply
    31,202x = 63,862 × 63,862
  4. Step 4: Simplify right side
    31,202x = 4,078,355,044
  5. Step 5: Solve for x
    x = 4,078,355,044/31,202
  6. Step 6: Final answer
    x = 130,708.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.