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Finding the Third Proportional to 53,700 and 114,312

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Solution

The third proportional to 53,700 and 114,312 is: 243,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700 : 114,312 = 114,312 : x
  2. Step 2: Convert to fraction form
    53,700/114,312 = 114,312/x
  3. Step 3: Cross multiply
    53,700x = 114,312 × 114,312
  4. Step 4: Simplify right side
    53,700x = 13,067,233,344
  5. Step 5: Solve for x
    x = 13,067,233,344/53,700
  6. Step 6: Final answer
    x = 243,337.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.