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Finding the Third Proportional to 52,875 and 77,851

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Solution

The third proportional to 52,875 and 77,851 is: 114,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875 : 77,851 = 77,851 : x
  2. Step 2: Convert to fraction form
    52,875/77,851 = 77,851/x
  3. Step 3: Cross multiply
    52,875x = 77,851 × 77,851
  4. Step 4: Simplify right side
    52,875x = 6,060,778,201
  5. Step 5: Solve for x
    x = 6,060,778,201/52,875
  6. Step 6: Final answer
    x = 114,624.65

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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.