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Finding the Third Proportional to 58,471 and 90,460

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Solution

The third proportional to 58,471 and 90,460 is: 139,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471 : 90,460 = 90,460 : x
  2. Step 2: Convert to fraction form
    58,471/90,460 = 90,460/x
  3. Step 3: Cross multiply
    58,471x = 90,460 × 90,460
  4. Step 4: Simplify right side
    58,471x = 8,183,011,600
  5. Step 5: Solve for x
    x = 8,183,011,600/58,471
  6. Step 6: Final answer
    x = 139,949.92

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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.