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Finding the Third Proportional to 78,952.50 and 121,357.13

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Solution

The third proportional to 78,952.50 and 121,357.13 is: 186,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,952.50 : 121,357.13 = 121,357.13 : x
  2. Step 2: Convert to fraction form
    78,952.50/121,357.13 = 121,357.13/x
  3. Step 3: Cross multiply
    78,952.50x = 121,357.13 × 121,357.13
  4. Step 4: Simplify right side
    78,952.50x = 14,727,551,788.27
  5. Step 5: Solve for x
    x = 14,727,551,788.27/78,952.50
  6. Step 6: Final answer
    x = 186,536.86

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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.