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Finding the Third Proportional to 93,870 and 141,601.50

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Solution

The third proportional to 93,870 and 141,601.50 is: 213,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,870 : 141,601.50 = 141,601.50 : x
  2. Step 2: Convert to fraction form
    93,870/141,601.50 = 141,601.50/x
  3. Step 3: Cross multiply
    93,870x = 141,601.50 × 141,601.50
  4. Step 4: Simplify right side
    93,870x = 20,050,984,802.25
  5. Step 5: Solve for x
    x = 20,050,984,802.25/93,870
  6. Step 6: Final answer
    x = 213,603.76

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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.