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Finding the Third Proportional to 58,126 and 89,781

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Solution

The third proportional to 58,126 and 89,781 is: 138,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,126 : 89,781 = 89,781 : x
  2. Step 2: Convert to fraction form
    58,126/89,781 = 89,781/x
  3. Step 3: Cross multiply
    58,126x = 89,781 × 89,781
  4. Step 4: Simplify right side
    58,126x = 8,060,627,961
  5. Step 5: Solve for x
    x = 8,060,627,961/58,126
  6. Step 6: Final answer
    x = 138,675.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.