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Finding the Third Proportional to 53,927.16 and 113,432.06

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Solution

The third proportional to 53,927.16 and 113,432.06 is: 238,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,927.16 : 113,432.06 = 113,432.06 : x
  2. Step 2: Convert to fraction form
    53,927.16/113,432.06 = 113,432.06/x
  3. Step 3: Cross multiply
    53,927.16x = 113,432.06 × 113,432.06
  4. Step 4: Simplify right side
    53,927.16x = 12,866,832,803.00
  5. Step 5: Solve for x
    x = 12,866,832,803.00/53,927.16
  6. Step 6: Final answer
    x = 238,596.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.