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Finding the Third Proportional to 69,852.38 and 110,656.13

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Solution

The third proportional to 69,852.38 and 110,656.13 is: 175,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,852.38 : 110,656.13 = 110,656.13 : x
  2. Step 2: Convert to fraction form
    69,852.38/110,656.13 = 110,656.13/x
  3. Step 3: Cross multiply
    69,852.38x = 110,656.13 × 110,656.13
  4. Step 4: Simplify right side
    69,852.38x = 12,244,778,000.02
  5. Step 5: Solve for x
    x = 12,244,778,000.02/69,852.38
  6. Step 6: Final answer
    x = 175,295.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.