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Finding the Third Proportional to 69,877 and 110,701.50

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Solution

The third proportional to 69,877 and 110,701.50 is: 175,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,877 : 110,701.50 = 110,701.50 : x
  2. Step 2: Convert to fraction form
    69,877/110,701.50 = 110,701.50/x
  3. Step 3: Cross multiply
    69,877x = 110,701.50 × 110,701.50
  4. Step 4: Simplify right side
    69,877x = 12,254,822,102.25
  5. Step 5: Solve for x
    x = 12,254,822,102.25/69,877
  6. Step 6: Final answer
    x = 175,377.05

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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.