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Finding the Third Proportional to 52,710 and 112,953

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Solution

The third proportional to 52,710 and 112,953 is: 242,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710 : 112,953 = 112,953 : x
  2. Step 2: Convert to fraction form
    52,710/112,953 = 112,953/x
  3. Step 3: Cross multiply
    52,710x = 112,953 × 112,953
  4. Step 4: Simplify right side
    52,710x = 12,758,380,209
  5. Step 5: Solve for x
    x = 12,758,380,209/52,710
  6. Step 6: Final answer
    x = 242,048.57

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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.