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Finding the Third Proportional to 52,664 and 112,740

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Solution

The third proportional to 52,664 and 112,740 is: 241,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,664 : 112,740 = 112,740 : x
  2. Step 2: Convert to fraction form
    52,664/112,740 = 112,740/x
  3. Step 3: Cross multiply
    52,664x = 112,740 × 112,740
  4. Step 4: Simplify right side
    52,664x = 12,710,307,600
  5. Step 5: Solve for x
    x = 12,710,307,600/52,664
  6. Step 6: Final answer
    x = 241,347.17

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Why These Related Problems?

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