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Finding the Third Proportional to 53,331 and 123,465

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Solution

The third proportional to 53,331 and 123,465 is: 285,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,331 : 123,465 = 123,465 : x
  2. Step 2: Convert to fraction form
    53,331/123,465 = 123,465/x
  3. Step 3: Cross multiply
    53,331x = 123,465 × 123,465
  4. Step 4: Simplify right side
    53,331x = 15,243,606,225
  5. Step 5: Solve for x
    x = 15,243,606,225/53,331
  6. Step 6: Final answer
    x = 285,830.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.