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Finding the Third Proportional to 110,010 and 148,558

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Solution

The third proportional to 110,010 and 148,558 is: 200,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010 : 148,558 = 148,558 : x
  2. Step 2: Convert to fraction form
    110,010/148,558 = 148,558/x
  3. Step 3: Cross multiply
    110,010x = 148,558 × 148,558
  4. Step 4: Simplify right side
    110,010x = 22,069,479,364
  5. Step 5: Solve for x
    x = 22,069,479,364/110,010
  6. Step 6: Final answer
    x = 200,613.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.