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Finding the Third Proportional to 53,888.50 and 117,428

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Solution

The third proportional to 53,888.50 and 117,428 is: 255,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888.50 : 117,428 = 117,428 : x
  2. Step 2: Convert to fraction form
    53,888.50/117,428 = 117,428/x
  3. Step 3: Cross multiply
    53,888.50x = 117,428 × 117,428
  4. Step 4: Simplify right side
    53,888.50x = 13,789,335,184
  5. Step 5: Solve for x
    x = 13,789,335,184/53,888.50
  6. Step 6: Final answer
    x = 255,886.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.