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Finding the Third Proportional to 58,569 and 89,232

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Solution

The third proportional to 58,569 and 89,232 is: 135,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,569 : 89,232 = 89,232 : x
  2. Step 2: Convert to fraction form
    58,569/89,232 = 89,232/x
  3. Step 3: Cross multiply
    58,569x = 89,232 × 89,232
  4. Step 4: Simplify right side
    58,569x = 7,962,349,824
  5. Step 5: Solve for x
    x = 7,962,349,824/58,569
  6. Step 6: Final answer
    x = 135,948.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.