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Finding the Third Proportional to 62,271.75 and 99,135

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Solution

The third proportional to 62,271.75 and 99,135 is: 157,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271.75 : 99,135 = 99,135 : x
  2. Step 2: Convert to fraction form
    62,271.75/99,135 = 99,135/x
  3. Step 3: Cross multiply
    62,271.75x = 99,135 × 99,135
  4. Step 4: Simplify right side
    62,271.75x = 9,827,748,225
  5. Step 5: Solve for x
    x = 9,827,748,225/62,271.75
  6. Step 6: Final answer
    x = 157,820.33

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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.