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Finding the Third Proportional to 130,052 and 190,146

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Solution

The third proportional to 130,052 and 190,146 is: 278,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,052 : 190,146 = 190,146 : x
  2. Step 2: Convert to fraction form
    130,052/190,146 = 190,146/x
  3. Step 3: Cross multiply
    130,052x = 190,146 × 190,146
  4. Step 4: Simplify right side
    130,052x = 36,155,501,316
  5. Step 5: Solve for x
    x = 36,155,501,316/130,052
  6. Step 6: Final answer
    x = 278,008.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.