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Finding the Third Proportional to 99,748 and 146,670

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Solution

The third proportional to 99,748 and 146,670 is: 215,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748 : 146,670 = 146,670 : x
  2. Step 2: Convert to fraction form
    99,748/146,670 = 146,670/x
  3. Step 3: Cross multiply
    99,748x = 146,670 × 146,670
  4. Step 4: Simplify right side
    99,748x = 21,512,088,900
  5. Step 5: Solve for x
    x = 21,512,088,900/99,748
  6. Step 6: Final answer
    x = 215,664.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.