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Finding the Third Proportional to 58,911 and 88,174.13

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Solution

The third proportional to 58,911 and 88,174.13 is: 131,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,911 : 88,174.13 = 88,174.13 : x
  2. Step 2: Convert to fraction form
    58,911/88,174.13 = 88,174.13/x
  3. Step 3: Cross multiply
    58,911x = 88,174.13 × 88,174.13
  4. Step 4: Simplify right side
    58,911x = 7,774,676,319.52
  5. Step 5: Solve for x
    x = 7,774,676,319.52/58,911
  6. Step 6: Final answer
    x = 131,973.25

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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.