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Finding the Third Proportional to 58,374 and 92,556

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Solution

The third proportional to 58,374 and 92,556 is: 146,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,374 : 92,556 = 92,556 : x
  2. Step 2: Convert to fraction form
    58,374/92,556 = 92,556/x
  3. Step 3: Cross multiply
    58,374x = 92,556 × 92,556
  4. Step 4: Simplify right side
    58,374x = 8,566,613,136
  5. Step 5: Solve for x
    x = 8,566,613,136/58,374
  6. Step 6: Final answer
    x = 146,753.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.