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Finding the Third Proportional to 99,642.75 and 148,045.13

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Solution

The third proportional to 99,642.75 and 148,045.13 is: 219,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642.75 : 148,045.13 = 148,045.13 : x
  2. Step 2: Convert to fraction form
    99,642.75/148,045.13 = 148,045.13/x
  3. Step 3: Cross multiply
    99,642.75x = 148,045.13 × 148,045.13
  4. Step 4: Simplify right side
    99,642.75x = 21,917,359,036.27
  5. Step 5: Solve for x
    x = 21,917,359,036.27/99,642.75
  6. Step 6: Final answer
    x = 219,959.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.