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Finding the Third Proportional to 52,701 and 114,219

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Solution

The third proportional to 52,701 and 114,219 is: 247,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701 : 114,219 = 114,219 : x
  2. Step 2: Convert to fraction form
    52,701/114,219 = 114,219/x
  3. Step 3: Cross multiply
    52,701x = 114,219 × 114,219
  4. Step 4: Simplify right side
    52,701x = 13,045,979,961
  5. Step 5: Solve for x
    x = 13,045,979,961/52,701
  6. Step 6: Final answer
    x = 247,547.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.