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Finding the Third Proportional to 106,984 and 163,332

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Solution

The third proportional to 106,984 and 163,332 is: 249,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984 : 163,332 = 163,332 : x
  2. Step 2: Convert to fraction form
    106,984/163,332 = 163,332/x
  3. Step 3: Cross multiply
    106,984x = 163,332 × 163,332
  4. Step 4: Simplify right side
    106,984x = 26,677,342,224
  5. Step 5: Solve for x
    x = 26,677,342,224/106,984
  6. Step 6: Final answer
    x = 249,358.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.