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Finding the Third Proportional to 60,214 and 93,539

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Solution

The third proportional to 60,214 and 93,539 is: 145,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,214 : 93,539 = 93,539 : x
  2. Step 2: Convert to fraction form
    60,214/93,539 = 93,539/x
  3. Step 3: Cross multiply
    60,214x = 93,539 × 93,539
  4. Step 4: Simplify right side
    60,214x = 8,749,544,521
  5. Step 5: Solve for x
    x = 8,749,544,521/60,214
  6. Step 6: Final answer
    x = 145,307.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.