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Finding the Third Proportional to 70,711.71 and 153,477.16

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Solution

The third proportional to 70,711.71 and 153,477.16 is: 333,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711.71 : 153,477.16 = 153,477.16 : x
  2. Step 2: Convert to fraction form
    70,711.71/153,477.16 = 153,477.16/x
  3. Step 3: Cross multiply
    70,711.71x = 153,477.16 × 153,477.16
  4. Step 4: Simplify right side
    70,711.71x = 23,555,239,888.67
  5. Step 5: Solve for x
    x = 23,555,239,888.67/70,711.71
  6. Step 6: Final answer
    x = 333,116.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.