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Finding the Third Proportional to 113,041.69 and 153,514.13

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Solution

The third proportional to 113,041.69 and 153,514.13 is: 208,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,041.69 : 153,514.13 = 153,514.13 : x
  2. Step 2: Convert to fraction form
    113,041.69/153,514.13 = 153,514.13/x
  3. Step 3: Cross multiply
    113,041.69x = 153,514.13 × 153,514.13
  4. Step 4: Simplify right side
    113,041.69x = 23,566,586,574.52
  5. Step 5: Solve for x
    x = 23,566,586,574.52/113,041.69
  6. Step 6: Final answer
    x = 208,476.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.