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Finding the Third Proportional to 62,217 and 94,477.50

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Solution

The third proportional to 62,217 and 94,477.50 is: 143,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,217 : 94,477.50 = 94,477.50 : x
  2. Step 2: Convert to fraction form
    62,217/94,477.50 = 94,477.50/x
  3. Step 3: Cross multiply
    62,217x = 94,477.50 × 94,477.50
  4. Step 4: Simplify right side
    62,217x = 8,925,998,006.25
  5. Step 5: Solve for x
    x = 8,925,998,006.25/62,217
  6. Step 6: Final answer
    x = 143,465.58

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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.