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Finding the Third Proportional to 52,270 and 114,547

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Solution

The third proportional to 52,270 and 114,547 is: 251,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,270 : 114,547 = 114,547 : x
  2. Step 2: Convert to fraction form
    52,270/114,547 = 114,547/x
  3. Step 3: Cross multiply
    52,270x = 114,547 × 114,547
  4. Step 4: Simplify right side
    52,270x = 13,121,015,209
  5. Step 5: Solve for x
    x = 13,121,015,209/52,270
  6. Step 6: Final answer
    x = 251,023.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.