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Finding the Third Proportional to 141,112.56 and 201,158.50

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Solution

The third proportional to 141,112.56 and 201,158.50 is: 286,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,112.56 : 201,158.50 = 201,158.50 : x
  2. Step 2: Convert to fraction form
    141,112.56/201,158.50 = 201,158.50/x
  3. Step 3: Cross multiply
    141,112.56x = 201,158.50 × 201,158.50
  4. Step 4: Simplify right side
    141,112.56x = 40,464,742,122.25
  5. Step 5: Solve for x
    x = 40,464,742,122.25/141,112.56
  6. Step 6: Final answer
    x = 286,755.07

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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.