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Finding the Third Proportional to 97,920 and 132,117.50

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Solution

The third proportional to 97,920 and 132,117.50 is: 178,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920 : 132,117.50 = 132,117.50 : x
  2. Step 2: Convert to fraction form
    97,920/132,117.50 = 132,117.50/x
  3. Step 3: Cross multiply
    97,920x = 132,117.50 × 132,117.50
  4. Step 4: Simplify right side
    97,920x = 17,455,033,806.25
  5. Step 5: Solve for x
    x = 17,455,033,806.25/97,920
  6. Step 6: Final answer
    x = 178,258.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.