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Finding the Third Proportional to 78,457.50 and 189,117

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Solution

The third proportional to 78,457.50 and 189,117 is: 455,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.50 : 189,117 = 189,117 : x
  2. Step 2: Convert to fraction form
    78,457.50/189,117 = 189,117/x
  3. Step 3: Cross multiply
    78,457.50x = 189,117 × 189,117
  4. Step 4: Simplify right side
    78,457.50x = 35,765,239,689
  5. Step 5: Solve for x
    x = 35,765,239,689/78,457.50
  6. Step 6: Final answer
    x = 455,854.95

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.