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Finding the Third Proportional to 58,572 and 90,774

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Solution

The third proportional to 58,572 and 90,774 is: 140,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,572 : 90,774 = 90,774 : x
  2. Step 2: Convert to fraction form
    58,572/90,774 = 90,774/x
  3. Step 3: Cross multiply
    58,572x = 90,774 × 90,774
  4. Step 4: Simplify right side
    58,572x = 8,239,919,076
  5. Step 5: Solve for x
    x = 8,239,919,076/58,572
  6. Step 6: Final answer
    x = 140,680.17

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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.