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Finding the Third Proportional to 67,688 and 99,222

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Solution

The third proportional to 67,688 and 99,222 is: 145,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,688 : 99,222 = 99,222 : x
  2. Step 2: Convert to fraction form
    67,688/99,222 = 99,222/x
  3. Step 3: Cross multiply
    67,688x = 99,222 × 99,222
  4. Step 4: Simplify right side
    67,688x = 9,845,005,284
  5. Step 5: Solve for x
    x = 9,845,005,284/67,688
  6. Step 6: Final answer
    x = 145,446.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.