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Finding the Third Proportional to 70,292 and 146,417

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Solution

The third proportional to 70,292 and 146,417 is: 304,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,292 : 146,417 = 146,417 : x
  2. Step 2: Convert to fraction form
    70,292/146,417 = 146,417/x
  3. Step 3: Cross multiply
    70,292x = 146,417 × 146,417
  4. Step 4: Simplify right side
    70,292x = 21,437,937,889
  5. Step 5: Solve for x
    x = 21,437,937,889/70,292
  6. Step 6: Final answer
    x = 304,984.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.