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Finding the Third Proportional to 58,332 and 90,494

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Solution

The third proportional to 58,332 and 90,494 is: 140,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,332 : 90,494 = 90,494 : x
  2. Step 2: Convert to fraction form
    58,332/90,494 = 90,494/x
  3. Step 3: Cross multiply
    58,332x = 90,494 × 90,494
  4. Step 4: Simplify right side
    58,332x = 8,189,164,036
  5. Step 5: Solve for x
    x = 8,189,164,036/58,332
  6. Step 6: Final answer
    x = 140,388.88

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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.