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Finding the Third Proportional to 53,028 and 116,424

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Solution

The third proportional to 53,028 and 116,424 is: 255,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028 : 116,424 = 116,424 : x
  2. Step 2: Convert to fraction form
    53,028/116,424 = 116,424/x
  3. Step 3: Cross multiply
    53,028x = 116,424 × 116,424
  4. Step 4: Simplify right side
    53,028x = 13,554,547,776
  5. Step 5: Solve for x
    x = 13,554,547,776/53,028
  6. Step 6: Final answer
    x = 255,611.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.