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Finding the Third Proportional to 77,710.50 and 169,470

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Solution

The third proportional to 77,710.50 and 169,470 is: 369,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.50 : 169,470 = 169,470 : x
  2. Step 2: Convert to fraction form
    77,710.50/169,470 = 169,470/x
  3. Step 3: Cross multiply
    77,710.50x = 169,470 × 169,470
  4. Step 4: Simplify right side
    77,710.50x = 28,720,080,900
  5. Step 5: Solve for x
    x = 28,720,080,900/77,710.50
  6. Step 6: Final answer
    x = 369,577.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.