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Finding the Third Proportional to 64,038 and 98,950

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Solution

The third proportional to 64,038 and 98,950 is: 152,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038 : 98,950 = 98,950 : x
  2. Step 2: Convert to fraction form
    64,038/98,950 = 98,950/x
  3. Step 3: Cross multiply
    64,038x = 98,950 × 98,950
  4. Step 4: Simplify right side
    64,038x = 9,791,102,500
  5. Step 5: Solve for x
    x = 9,791,102,500/64,038
  6. Step 6: Final answer
    x = 152,895.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.