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Finding the Third Proportional to 56,300 and 119,510

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Solution

The third proportional to 56,300 and 119,510 is: 253,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,300 : 119,510 = 119,510 : x
  2. Step 2: Convert to fraction form
    56,300/119,510 = 119,510/x
  3. Step 3: Cross multiply
    56,300x = 119,510 × 119,510
  4. Step 4: Simplify right side
    56,300x = 14,282,640,100
  5. Step 5: Solve for x
    x = 14,282,640,100/56,300
  6. Step 6: Final answer
    x = 253,688.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.