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Finding the Third Proportional to 74,857.50 and 112,590

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Solution

The third proportional to 74,857.50 and 112,590 is: 169,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857.50 : 112,590 = 112,590 : x
  2. Step 2: Convert to fraction form
    74,857.50/112,590 = 112,590/x
  3. Step 3: Cross multiply
    74,857.50x = 112,590 × 112,590
  4. Step 4: Simplify right side
    74,857.50x = 12,676,508,100
  5. Step 5: Solve for x
    x = 12,676,508,100/74,857.50
  6. Step 6: Final answer
    x = 169,341.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.