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Finding the Third Proportional to 66,946.50 and 103,726.13

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Solution

The third proportional to 66,946.50 and 103,726.13 is: 160,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946.50 : 103,726.13 = 103,726.13 : x
  2. Step 2: Convert to fraction form
    66,946.50/103,726.13 = 103,726.13/x
  3. Step 3: Cross multiply
    66,946.50x = 103,726.13 × 103,726.13
  4. Step 4: Simplify right side
    66,946.50x = 10,759,109,007.52
  5. Step 5: Solve for x
    x = 10,759,109,007.52/66,946.50
  6. Step 6: Final answer
    x = 160,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.