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Finding the Third Proportional to 77,248.69 and 110,256.19

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Solution

The third proportional to 77,248.69 and 110,256.19 is: 157,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,248.69 : 110,256.19 = 110,256.19 : x
  2. Step 2: Convert to fraction form
    77,248.69/110,256.19 = 110,256.19/x
  3. Step 3: Cross multiply
    77,248.69x = 110,256.19 × 110,256.19
  4. Step 4: Simplify right side
    77,248.69x = 12,156,426,882.04
  5. Step 5: Solve for x
    x = 12,156,426,882.04/77,248.69
  6. Step 6: Final answer
    x = 157,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.