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Finding the Third Proportional to 57,580 and 88,830

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Solution

The third proportional to 57,580 and 88,830 is: 137,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,580 : 88,830 = 88,830 : x
  2. Step 2: Convert to fraction form
    57,580/88,830 = 88,830/x
  3. Step 3: Cross multiply
    57,580x = 88,830 × 88,830
  4. Step 4: Simplify right side
    57,580x = 7,890,768,900
  5. Step 5: Solve for x
    x = 7,890,768,900/57,580
  6. Step 6: Final answer
    x = 137,040.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.