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Finding the Third Proportional to 66,924 and 148,610

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Solution

The third proportional to 66,924 and 148,610 is: 330,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,924 : 148,610 = 148,610 : x
  2. Step 2: Convert to fraction form
    66,924/148,610 = 148,610/x
  3. Step 3: Cross multiply
    66,924x = 148,610 × 148,610
  4. Step 4: Simplify right side
    66,924x = 22,084,932,100
  5. Step 5: Solve for x
    x = 22,084,932,100/66,924
  6. Step 6: Final answer
    x = 330,000.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.