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Finding the Third Proportional to 70,895 and 153,426

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Solution

The third proportional to 70,895 and 153,426 is: 332,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895 : 153,426 = 153,426 : x
  2. Step 2: Convert to fraction form
    70,895/153,426 = 153,426/x
  3. Step 3: Cross multiply
    70,895x = 153,426 × 153,426
  4. Step 4: Simplify right side
    70,895x = 23,539,537,476
  5. Step 5: Solve for x
    x = 23,539,537,476/70,895
  6. Step 6: Final answer
    x = 332,033.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.