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Finding the Third Proportional to 72,905.50 and 112,585

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Solution

The third proportional to 72,905.50 and 112,585 is: 173,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,905.50 : 112,585 = 112,585 : x
  2. Step 2: Convert to fraction form
    72,905.50/112,585 = 112,585/x
  3. Step 3: Cross multiply
    72,905.50x = 112,585 × 112,585
  4. Step 4: Simplify right side
    72,905.50x = 12,675,382,225
  5. Step 5: Solve for x
    x = 12,675,382,225/72,905.50
  6. Step 6: Final answer
    x = 173,860.44

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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.