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Finding the Third Proportional to 60,980 and 95,037

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Solution

The third proportional to 60,980 and 95,037 is: 148,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,980 : 95,037 = 95,037 : x
  2. Step 2: Convert to fraction form
    60,980/95,037 = 95,037/x
  3. Step 3: Cross multiply
    60,980x = 95,037 × 95,037
  4. Step 4: Simplify right side
    60,980x = 9,032,031,369
  5. Step 5: Solve for x
    x = 9,032,031,369/60,980
  6. Step 6: Final answer
    x = 148,114.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.