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Finding the Third Proportional to 74,827.13 and 110,053.69

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Solution

The third proportional to 74,827.13 and 110,053.69 is: 161,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,827.13 : 110,053.69 = 110,053.69 : x
  2. Step 2: Convert to fraction form
    74,827.13/110,053.69 = 110,053.69/x
  3. Step 3: Cross multiply
    74,827.13x = 110,053.69 × 110,053.69
  4. Step 4: Simplify right side
    74,827.13x = 12,111,814,132.35
  5. Step 5: Solve for x
    x = 12,111,814,132.35/74,827.13
  6. Step 6: Final answer
    x = 161,863.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.