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Finding the Third Proportional to 70,076 and 111,558

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Solution

The third proportional to 70,076 and 111,558 is: 177,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076 : 111,558 = 111,558 : x
  2. Step 2: Convert to fraction form
    70,076/111,558 = 111,558/x
  3. Step 3: Cross multiply
    70,076x = 111,558 × 111,558
  4. Step 4: Simplify right side
    70,076x = 12,445,187,364
  5. Step 5: Solve for x
    x = 12,445,187,364/70,076
  6. Step 6: Final answer
    x = 177,595.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.