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Finding the Third Proportional to 64,972 and 95,154

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Solution

The third proportional to 64,972 and 95,154 is: 139,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 95,154 = 95,154 : x
  2. Step 2: Convert to fraction form
    64,972/95,154 = 95,154/x
  3. Step 3: Cross multiply
    64,972x = 95,154 × 95,154
  4. Step 4: Simplify right side
    64,972x = 9,054,283,716
  5. Step 5: Solve for x
    x = 9,054,283,716/64,972
  6. Step 6: Final answer
    x = 139,356.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.