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Finding the Third Proportional to 61,603 and 88,030

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Solution

The third proportional to 61,603 and 88,030 is: 125,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 88,030 = 88,030 : x
  2. Step 2: Convert to fraction form
    61,603/88,030 = 88,030/x
  3. Step 3: Cross multiply
    61,603x = 88,030 × 88,030
  4. Step 4: Simplify right side
    61,603x = 7,749,280,900
  5. Step 5: Solve for x
    x = 7,749,280,900/61,603
  6. Step 6: Final answer
    x = 125,793.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.