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Finding the Third Proportional to 53,445 and 114,929

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Solution

The third proportional to 53,445 and 114,929 is: 247,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,445 : 114,929 = 114,929 : x
  2. Step 2: Convert to fraction form
    53,445/114,929 = 114,929/x
  3. Step 3: Cross multiply
    53,445x = 114,929 × 114,929
  4. Step 4: Simplify right side
    53,445x = 13,208,675,041
  5. Step 5: Solve for x
    x = 13,208,675,041/53,445
  6. Step 6: Final answer
    x = 247,145.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.