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Finding the Third Proportional to 43,594 and 97,058

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Solution

The third proportional to 43,594 and 97,058 is: 216,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,594 : 97,058 = 97,058 : x
  2. Step 2: Convert to fraction form
    43,594/97,058 = 97,058/x
  3. Step 3: Cross multiply
    43,594x = 97,058 × 97,058
  4. Step 4: Simplify right side
    43,594x = 9,420,255,364
  5. Step 5: Solve for x
    x = 9,420,255,364/43,594
  6. Step 6: Final answer
    x = 216,090.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.