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Finding the Third Proportional to 52,904 and 77,664

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Solution

The third proportional to 52,904 and 77,664 is: 114,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,904 : 77,664 = 77,664 : x
  2. Step 2: Convert to fraction form
    52,904/77,664 = 77,664/x
  3. Step 3: Cross multiply
    52,904x = 77,664 × 77,664
  4. Step 4: Simplify right side
    52,904x = 6,031,696,896
  5. Step 5: Solve for x
    x = 6,031,696,896/52,904
  6. Step 6: Final answer
    x = 114,012.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.