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Finding the Third Proportional to 64,342.69 and 141,139.13

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Solution

The third proportional to 64,342.69 and 141,139.13 is: 309,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,342.69 : 141,139.13 = 141,139.13 : x
  2. Step 2: Convert to fraction form
    64,342.69/141,139.13 = 141,139.13/x
  3. Step 3: Cross multiply
    64,342.69x = 141,139.13 × 141,139.13
  4. Step 4: Simplify right side
    64,342.69x = 19,920,252,605.77
  5. Step 5: Solve for x
    x = 19,920,252,605.77/64,342.69
  6. Step 6: Final answer
    x = 309,596.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.