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Finding the Third Proportional to 58,122 and 89,460

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Solution

The third proportional to 58,122 and 89,460 is: 137,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,122 : 89,460 = 89,460 : x
  2. Step 2: Convert to fraction form
    58,122/89,460 = 89,460/x
  3. Step 3: Cross multiply
    58,122x = 89,460 × 89,460
  4. Step 4: Simplify right side
    58,122x = 8,003,091,600
  5. Step 5: Solve for x
    x = 8,003,091,600/58,122
  6. Step 6: Final answer
    x = 137,694.70

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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.