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Finding the Third Proportional to 49,688 and 74,335

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Solution

The third proportional to 49,688 and 74,335 is: 111,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,688 : 74,335 = 74,335 : x
  2. Step 2: Convert to fraction form
    49,688/74,335 = 74,335/x
  3. Step 3: Cross multiply
    49,688x = 74,335 × 74,335
  4. Step 4: Simplify right side
    49,688x = 5,525,692,225
  5. Step 5: Solve for x
    x = 5,525,692,225/49,688
  6. Step 6: Final answer
    x = 111,207.78

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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.