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Finding the Third Proportional to 97,221.75 and 130,766.25

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Solution

The third proportional to 97,221.75 and 130,766.25 is: 175,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,221.75 : 130,766.25 = 130,766.25 : x
  2. Step 2: Convert to fraction form
    97,221.75/130,766.25 = 130,766.25/x
  3. Step 3: Cross multiply
    97,221.75x = 130,766.25 × 130,766.25
  4. Step 4: Simplify right side
    97,221.75x = 17,099,812,139.06
  5. Step 5: Solve for x
    x = 17,099,812,139.06/97,221.75
  6. Step 6: Final answer
    x = 175,884.64

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Why These Related Problems?

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