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Finding the Third Proportional to 129,598 and 202,862

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Solution

The third proportional to 129,598 and 202,862 is: 317,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,598 : 202,862 = 202,862 : x
  2. Step 2: Convert to fraction form
    129,598/202,862 = 202,862/x
  3. Step 3: Cross multiply
    129,598x = 202,862 × 202,862
  4. Step 4: Simplify right side
    129,598x = 41,152,991,044
  5. Step 5: Solve for x
    x = 41,152,991,044/129,598
  6. Step 6: Final answer
    x = 317,543.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.