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Finding the Third Proportional to 70,012.50 and 153,633

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Solution

The third proportional to 70,012.50 and 153,633 is: 337,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012.50 : 153,633 = 153,633 : x
  2. Step 2: Convert to fraction form
    70,012.50/153,633 = 153,633/x
  3. Step 3: Cross multiply
    70,012.50x = 153,633 × 153,633
  4. Step 4: Simplify right side
    70,012.50x = 23,603,098,689
  5. Step 5: Solve for x
    x = 23,603,098,689/70,012.50
  6. Step 6: Final answer
    x = 337,126.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.