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Finding the Third Proportional to 70,058 and 153,742

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Solution

The third proportional to 70,058 and 153,742 is: 337,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,058 : 153,742 = 153,742 : x
  2. Step 2: Convert to fraction form
    70,058/153,742 = 153,742/x
  3. Step 3: Cross multiply
    70,058x = 153,742 × 153,742
  4. Step 4: Simplify right side
    70,058x = 23,636,602,564
  5. Step 5: Solve for x
    x = 23,636,602,564/70,058
  6. Step 6: Final answer
    x = 337,386.20

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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.