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Finding the Third Proportional to 67,987 and 97,921.50

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Solution

The third proportional to 67,987 and 97,921.50 is: 141,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,987 : 97,921.50 = 97,921.50 : x
  2. Step 2: Convert to fraction form
    67,987/97,921.50 = 97,921.50/x
  3. Step 3: Cross multiply
    67,987x = 97,921.50 × 97,921.50
  4. Step 4: Simplify right side
    67,987x = 9,588,620,162.25
  5. Step 5: Solve for x
    x = 9,588,620,162.25/67,987
  6. Step 6: Final answer
    x = 141,036.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.