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Finding the Third Proportional to 97,074 and 205,717.50

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Solution

The third proportional to 97,074 and 205,717.50 is: 435,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 205,717.50 = 205,717.50 : x
  2. Step 2: Convert to fraction form
    97,074/205,717.50 = 205,717.50/x
  3. Step 3: Cross multiply
    97,074x = 205,717.50 × 205,717.50
  4. Step 4: Simplify right side
    97,074x = 42,319,689,806.25
  5. Step 5: Solve for x
    x = 42,319,689,806.25/97,074
  6. Step 6: Final answer
    x = 435,952.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.