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Finding the Third Proportional to 78,952.75 and 121,357.69

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Solution

The third proportional to 78,952.75 and 121,357.69 is: 186,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,952.75 : 121,357.69 = 121,357.69 : x
  2. Step 2: Convert to fraction form
    78,952.75/121,357.69 = 121,357.69/x
  3. Step 3: Cross multiply
    78,952.75x = 121,357.69 × 121,357.69
  4. Step 4: Simplify right side
    78,952.75x = 14,727,688,315.35
  5. Step 5: Solve for x
    x = 14,727,688,315.35/78,952.75
  6. Step 6: Final answer
    x = 186,538.00

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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.