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Finding the Third Proportional to 70,824 and 106,784

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Solution

The third proportional to 70,824 and 106,784 is: 161,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824 : 106,784 = 106,784 : x
  2. Step 2: Convert to fraction form
    70,824/106,784 = 106,784/x
  3. Step 3: Cross multiply
    70,824x = 106,784 × 106,784
  4. Step 4: Simplify right side
    70,824x = 11,402,822,656
  5. Step 5: Solve for x
    x = 11,402,822,656/70,824
  6. Step 6: Final answer
    x = 161,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.