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Finding the Third Proportional to 74,689.50 and 118,323

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Solution

The third proportional to 74,689.50 and 118,323 is: 187,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689.50 : 118,323 = 118,323 : x
  2. Step 2: Convert to fraction form
    74,689.50/118,323 = 118,323/x
  3. Step 3: Cross multiply
    74,689.50x = 118,323 × 118,323
  4. Step 4: Simplify right side
    74,689.50x = 14,000,332,329
  5. Step 5: Solve for x
    x = 14,000,332,329/74,689.50
  6. Step 6: Final answer
    x = 187,447.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.