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Finding the Third Proportional to 52,358 and 116,332

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Solution

The third proportional to 52,358 and 116,332 is: 258,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,358 : 116,332 = 116,332 : x
  2. Step 2: Convert to fraction form
    52,358/116,332 = 116,332/x
  3. Step 3: Cross multiply
    52,358x = 116,332 × 116,332
  4. Step 4: Simplify right side
    52,358x = 13,533,134,224
  5. Step 5: Solve for x
    x = 13,533,134,224/52,358
  6. Step 6: Final answer
    x = 258,473.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.