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Finding the Third Proportional to 62,814 and 88,033

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Solution

The third proportional to 62,814 and 88,033 is: 123,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,814 : 88,033 = 88,033 : x
  2. Step 2: Convert to fraction form
    62,814/88,033 = 88,033/x
  3. Step 3: Cross multiply
    62,814x = 88,033 × 88,033
  4. Step 4: Simplify right side
    62,814x = 7,749,809,089
  5. Step 5: Solve for x
    x = 7,749,809,089/62,814
  6. Step 6: Final answer
    x = 123,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.