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Finding the Third Proportional to 70,532 and 106,528

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Solution

The third proportional to 70,532 and 106,528 is: 160,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,532 : 106,528 = 106,528 : x
  2. Step 2: Convert to fraction form
    70,532/106,528 = 106,528/x
  3. Step 3: Cross multiply
    70,532x = 106,528 × 106,528
  4. Step 4: Simplify right side
    70,532x = 11,348,214,784
  5. Step 5: Solve for x
    x = 11,348,214,784/70,532
  6. Step 6: Final answer
    x = 160,894.56

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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.