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Finding the Third Proportional to 52,969.69 and 114,342

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Solution

The third proportional to 52,969.69 and 114,342 is: 246,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,969.69 : 114,342 = 114,342 : x
  2. Step 2: Convert to fraction form
    52,969.69/114,342 = 114,342/x
  3. Step 3: Cross multiply
    52,969.69x = 114,342 × 114,342
  4. Step 4: Simplify right side
    52,969.69x = 13,074,092,964
  5. Step 5: Solve for x
    x = 13,074,092,964/52,969.69
  6. Step 6: Final answer
    x = 246,822.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.