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Finding the Third Proportional to 71,465.63 and 152,428.50

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Solution

The third proportional to 71,465.63 and 152,428.50 is: 325,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,465.63 : 152,428.50 = 152,428.50 : x
  2. Step 2: Convert to fraction form
    71,465.63/152,428.50 = 152,428.50/x
  3. Step 3: Cross multiply
    71,465.63x = 152,428.50 × 152,428.50
  4. Step 4: Simplify right side
    71,465.63x = 23,234,447,612.25
  5. Step 5: Solve for x
    x = 23,234,447,612.25/71,465.63
  6. Step 6: Final answer
    x = 325,113.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.