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Finding the Third Proportional to 61,202 and 94,139

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Solution

The third proportional to 61,202 and 94,139 is: 144,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202 : 94,139 = 94,139 : x
  2. Step 2: Convert to fraction form
    61,202/94,139 = 94,139/x
  3. Step 3: Cross multiply
    61,202x = 94,139 × 94,139
  4. Step 4: Simplify right side
    61,202x = 8,862,151,321
  5. Step 5: Solve for x
    x = 8,862,151,321/61,202
  6. Step 6: Final answer
    x = 144,801.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.