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Finding the Third Proportional to 58,911 and 83,292

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Solution

The third proportional to 58,911 and 83,292 is: 117,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,911 : 83,292 = 83,292 : x
  2. Step 2: Convert to fraction form
    58,911/83,292 = 83,292/x
  3. Step 3: Cross multiply
    58,911x = 83,292 × 83,292
  4. Step 4: Simplify right side
    58,911x = 6,937,557,264
  5. Step 5: Solve for x
    x = 6,937,557,264/58,911
  6. Step 6: Final answer
    x = 117,763.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.