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Finding the Third Proportional to 62,807 and 94,346

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Solution

The third proportional to 62,807 and 94,346 is: 141,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,807 : 94,346 = 94,346 : x
  2. Step 2: Convert to fraction form
    62,807/94,346 = 94,346/x
  3. Step 3: Cross multiply
    62,807x = 94,346 × 94,346
  4. Step 4: Simplify right side
    62,807x = 8,901,167,716
  5. Step 5: Solve for x
    x = 8,901,167,716/62,807
  6. Step 6: Final answer
    x = 141,722.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.