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Finding the Third Proportional to 78,523.88 and 125,070.38

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Solution

The third proportional to 78,523.88 and 125,070.38 is: 199,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.88 : 125,070.38 = 125,070.38 : x
  2. Step 2: Convert to fraction form
    78,523.88/125,070.38 = 125,070.38/x
  3. Step 3: Cross multiply
    78,523.88x = 125,070.38 × 125,070.38
  4. Step 4: Simplify right side
    78,523.88x = 15,642,598,702.64
  5. Step 5: Solve for x
    x = 15,642,598,702.64/78,523.88
  6. Step 6: Final answer
    x = 199,208.19

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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.