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Finding the Third Proportional to 97,206.75 and 139,006.13

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Solution

The third proportional to 97,206.75 and 139,006.13 is: 198,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,206.75 : 139,006.13 = 139,006.13 : x
  2. Step 2: Convert to fraction form
    97,206.75/139,006.13 = 139,006.13/x
  3. Step 3: Cross multiply
    97,206.75x = 139,006.13 × 139,006.13
  4. Step 4: Simplify right side
    97,206.75x = 19,322,702,787.52
  5. Step 5: Solve for x
    x = 19,322,702,787.52/97,206.75
  6. Step 6: Final answer
    x = 198,779.43

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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.