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Finding the Third Proportional to 45,669 and 98,574

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Solution

The third proportional to 45,669 and 98,574 is: 212,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,669 : 98,574 = 98,574 : x
  2. Step 2: Convert to fraction form
    45,669/98,574 = 98,574/x
  3. Step 3: Cross multiply
    45,669x = 98,574 × 98,574
  4. Step 4: Simplify right side
    45,669x = 9,716,833,476
  5. Step 5: Solve for x
    x = 9,716,833,476/45,669
  6. Step 6: Final answer
    x = 212,766.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.