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Finding the Third Proportional to 58,000 and 87,466

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Solution

The third proportional to 58,000 and 87,466 is: 131,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,000 : 87,466 = 87,466 : x
  2. Step 2: Convert to fraction form
    58,000/87,466 = 87,466/x
  3. Step 3: Cross multiply
    58,000x = 87,466 × 87,466
  4. Step 4: Simplify right side
    58,000x = 7,650,301,156
  5. Step 5: Solve for x
    x = 7,650,301,156/58,000
  6. Step 6: Final answer
    x = 131,901.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.