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Finding the Third Proportional to 70,604 and 98,754

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Solution

The third proportional to 70,604 and 98,754 is: 138,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,604 : 98,754 = 98,754 : x
  2. Step 2: Convert to fraction form
    70,604/98,754 = 98,754/x
  3. Step 3: Cross multiply
    70,604x = 98,754 × 98,754
  4. Step 4: Simplify right side
    70,604x = 9,752,352,516
  5. Step 5: Solve for x
    x = 9,752,352,516/70,604
  6. Step 6: Final answer
    x = 138,127.48

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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.