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Finding the Third Proportional to 89,730 and 98,113.50

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Solution

The third proportional to 89,730 and 98,113.50 is: 107,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 98,113.50 = 98,113.50 : x
  2. Step 2: Convert to fraction form
    89,730/98,113.50 = 98,113.50/x
  3. Step 3: Cross multiply
    89,730x = 98,113.50 × 98,113.50
  4. Step 4: Simplify right side
    89,730x = 9,626,258,882.25
  5. Step 5: Solve for x
    x = 9,626,258,882.25/89,730
  6. Step 6: Final answer
    x = 107,280.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.