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Finding the Third Proportional to 68,590.13 and 97,782.19

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Solution

The third proportional to 68,590.13 and 97,782.19 is: 139,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,590.13 : 97,782.19 = 97,782.19 : x
  2. Step 2: Convert to fraction form
    68,590.13/97,782.19 = 97,782.19/x
  3. Step 3: Cross multiply
    68,590.13x = 97,782.19 × 97,782.19
  4. Step 4: Simplify right side
    68,590.13x = 9,561,356,192.29
  5. Step 5: Solve for x
    x = 9,561,356,192.29/68,590.13
  6. Step 6: Final answer
    x = 139,398.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.