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Finding the Third Proportional to 61,010 and 132,316

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Solution

The third proportional to 61,010 and 132,316 is: 286,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,010 : 132,316 = 132,316 : x
  2. Step 2: Convert to fraction form
    61,010/132,316 = 132,316/x
  3. Step 3: Cross multiply
    61,010x = 132,316 × 132,316
  4. Step 4: Simplify right side
    61,010x = 17,507,523,856
  5. Step 5: Solve for x
    x = 17,507,523,856/61,010
  6. Step 6: Final answer
    x = 286,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.