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Finding the Third Proportional to 53,050 and 115,942

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Solution

The third proportional to 53,050 and 115,942 is: 253,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050 : 115,942 = 115,942 : x
  2. Step 2: Convert to fraction form
    53,050/115,942 = 115,942/x
  3. Step 3: Cross multiply
    53,050x = 115,942 × 115,942
  4. Step 4: Simplify right side
    53,050x = 13,442,547,364
  5. Step 5: Solve for x
    x = 13,442,547,364/53,050
  6. Step 6: Final answer
    x = 253,393.92

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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.