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Finding the Third Proportional to 83,445 and 129,127.50

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Solution

The third proportional to 83,445 and 129,127.50 is: 199,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,445 : 129,127.50 = 129,127.50 : x
  2. Step 2: Convert to fraction form
    83,445/129,127.50 = 129,127.50/x
  3. Step 3: Cross multiply
    83,445x = 129,127.50 × 129,127.50
  4. Step 4: Simplify right side
    83,445x = 16,673,911,256.25
  5. Step 5: Solve for x
    x = 16,673,911,256.25/83,445
  6. Step 6: Final answer
    x = 199,819.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.