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Finding the Third Proportional to 97,058 and 145,587

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Solution

The third proportional to 97,058 and 145,587 is: 218,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,058 : 145,587 = 145,587 : x
  2. Step 2: Convert to fraction form
    97,058/145,587 = 145,587/x
  3. Step 3: Cross multiply
    97,058x = 145,587 × 145,587
  4. Step 4: Simplify right side
    97,058x = 21,195,574,569
  5. Step 5: Solve for x
    x = 21,195,574,569/97,058
  6. Step 6: Final answer
    x = 218,380.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.