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Finding the Third Proportional to 72,159.75 and 113,196

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Solution

The third proportional to 72,159.75 and 113,196 is: 177,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,159.75 : 113,196 = 113,196 : x
  2. Step 2: Convert to fraction form
    72,159.75/113,196 = 113,196/x
  3. Step 3: Cross multiply
    72,159.75x = 113,196 × 113,196
  4. Step 4: Simplify right side
    72,159.75x = 12,813,334,416
  5. Step 5: Solve for x
    x = 12,813,334,416/72,159.75
  6. Step 6: Final answer
    x = 177,569.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.