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Finding the Third Proportional to 58,437 and 87,656

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Solution

The third proportional to 58,437 and 87,656 is: 131,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,437 : 87,656 = 87,656 : x
  2. Step 2: Convert to fraction form
    58,437/87,656 = 87,656/x
  3. Step 3: Cross multiply
    58,437x = 87,656 × 87,656
  4. Step 4: Simplify right side
    58,437x = 7,683,574,336
  5. Step 5: Solve for x
    x = 7,683,574,336/58,437
  6. Step 6: Final answer
    x = 131,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.