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Finding the Third Proportional to 67,348 and 98,574

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Solution

The third proportional to 67,348 and 98,574 is: 144,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348 : 98,574 = 98,574 : x
  2. Step 2: Convert to fraction form
    67,348/98,574 = 98,574/x
  3. Step 3: Cross multiply
    67,348x = 98,574 × 98,574
  4. Step 4: Simplify right side
    67,348x = 9,716,833,476
  5. Step 5: Solve for x
    x = 9,716,833,476/67,348
  6. Step 6: Final answer
    x = 144,277.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.