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Finding the Third Proportional to 130,164.75 and 201,146

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Solution

The third proportional to 130,164.75 and 201,146 is: 310,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,164.75 : 201,146 = 201,146 : x
  2. Step 2: Convert to fraction form
    130,164.75/201,146 = 201,146/x
  3. Step 3: Cross multiply
    130,164.75x = 201,146 × 201,146
  4. Step 4: Simplify right side
    130,164.75x = 40,459,713,316
  5. Step 5: Solve for x
    x = 40,459,713,316/130,164.75
  6. Step 6: Final answer
    x = 310,834.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.