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Finding the Third Proportional to 56,158 and 85,146

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Solution

The third proportional to 56,158 and 85,146 is: 129,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,158 : 85,146 = 85,146 : x
  2. Step 2: Convert to fraction form
    56,158/85,146 = 85,146/x
  3. Step 3: Cross multiply
    56,158x = 85,146 × 85,146
  4. Step 4: Simplify right side
    56,158x = 7,249,841,316
  5. Step 5: Solve for x
    x = 7,249,841,316/56,158
  6. Step 6: Final answer
    x = 129,097.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.