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Finding the Third Proportional to 71,483.50 and 152,783

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Solution

The third proportional to 71,483.50 and 152,783 is: 326,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,483.50 : 152,783 = 152,783 : x
  2. Step 2: Convert to fraction form
    71,483.50/152,783 = 152,783/x
  3. Step 3: Cross multiply
    71,483.50x = 152,783 × 152,783
  4. Step 4: Simplify right side
    71,483.50x = 23,342,645,089
  5. Step 5: Solve for x
    x = 23,342,645,089/71,483.50
  6. Step 6: Final answer
    x = 326,545.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.