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Finding the Third Proportional to 70,102 and 148,967

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Solution

The third proportional to 70,102 and 148,967 is: 316,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102 : 148,967 = 148,967 : x
  2. Step 2: Convert to fraction form
    70,102/148,967 = 148,967/x
  3. Step 3: Cross multiply
    70,102x = 148,967 × 148,967
  4. Step 4: Simplify right side
    70,102x = 22,191,167,089
  5. Step 5: Solve for x
    x = 22,191,167,089/70,102
  6. Step 6: Final answer
    x = 316,555.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.