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Finding the Third Proportional to 56,310 and 119,788

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Solution

The third proportional to 56,310 and 119,788 is: 254,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,310 : 119,788 = 119,788 : x
  2. Step 2: Convert to fraction form
    56,310/119,788 = 119,788/x
  3. Step 3: Cross multiply
    56,310x = 119,788 × 119,788
  4. Step 4: Simplify right side
    56,310x = 14,349,164,944
  5. Step 5: Solve for x
    x = 14,349,164,944/56,310
  6. Step 6: Final answer
    x = 254,824.45

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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.