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Finding the Third Proportional to 72,570 and 112,092

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Solution

The third proportional to 72,570 and 112,092 is: 173,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570 : 112,092 = 112,092 : x
  2. Step 2: Convert to fraction form
    72,570/112,092 = 112,092/x
  3. Step 3: Cross multiply
    72,570x = 112,092 × 112,092
  4. Step 4: Simplify right side
    72,570x = 12,564,616,464
  5. Step 5: Solve for x
    x = 12,564,616,464/72,570
  6. Step 6: Final answer
    x = 173,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.