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Finding the Third Proportional to 67,159.13 and 147,235.22

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Solution

The third proportional to 67,159.13 and 147,235.22 is: 322,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,159.13 : 147,235.22 = 147,235.22 : x
  2. Step 2: Convert to fraction form
    67,159.13/147,235.22 = 147,235.22/x
  3. Step 3: Cross multiply
    67,159.13x = 147,235.22 × 147,235.22
  4. Step 4: Simplify right side
    67,159.13x = 21,678,209,640.36
  5. Step 5: Solve for x
    x = 21,678,209,640.36/67,159.13
  6. Step 6: Final answer
    x = 322,788.74

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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.