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Finding the Third Proportional to 70,226 and 153,572

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Solution

The third proportional to 70,226 and 153,572 is: 335,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,226 : 153,572 = 153,572 : x
  2. Step 2: Convert to fraction form
    70,226/153,572 = 153,572/x
  3. Step 3: Cross multiply
    70,226x = 153,572 × 153,572
  4. Step 4: Simplify right side
    70,226x = 23,584,359,184
  5. Step 5: Solve for x
    x = 23,584,359,184/70,226
  6. Step 6: Final answer
    x = 335,835.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.