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Finding the Third Proportional to 62,265 and 94,045.50

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Solution

The third proportional to 62,265 and 94,045.50 is: 142,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,265 : 94,045.50 = 94,045.50 : x
  2. Step 2: Convert to fraction form
    62,265/94,045.50 = 94,045.50/x
  3. Step 3: Cross multiply
    62,265x = 94,045.50 × 94,045.50
  4. Step 4: Simplify right side
    62,265x = 8,844,556,070.25
  5. Step 5: Solve for x
    x = 8,844,556,070.25/62,265
  6. Step 6: Final answer
    x = 142,046.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.