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Finding the Third Proportional to 97,017 and 145,147.50

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Solution

The third proportional to 97,017 and 145,147.50 is: 217,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,017 : 145,147.50 = 145,147.50 : x
  2. Step 2: Convert to fraction form
    97,017/145,147.50 = 145,147.50/x
  3. Step 3: Cross multiply
    97,017x = 145,147.50 × 145,147.50
  4. Step 4: Simplify right side
    97,017x = 21,067,796,756.25
  5. Step 5: Solve for x
    x = 21,067,796,756.25/97,017
  6. Step 6: Final answer
    x = 217,155.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.