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Finding the Third Proportional to 130,819.88 and 177,541.13

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Solution

The third proportional to 130,819.88 and 177,541.13 is: 240,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,819.88 : 177,541.13 = 177,541.13 : x
  2. Step 2: Convert to fraction form
    130,819.88/177,541.13 = 177,541.13/x
  3. Step 3: Cross multiply
    130,819.88x = 177,541.13 × 177,541.13
  4. Step 4: Simplify right side
    130,819.88x = 31,520,851,066.27
  5. Step 5: Solve for x
    x = 31,520,851,066.27/130,819.88
  6. Step 6: Final answer
    x = 240,948.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.