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Finding the Third Proportional to 53,596.13 and 120,848.06

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Solution

The third proportional to 53,596.13 and 120,848.06 is: 272,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,596.13 : 120,848.06 = 120,848.06 : x
  2. Step 2: Convert to fraction form
    53,596.13/120,848.06 = 120,848.06/x
  3. Step 3: Cross multiply
    53,596.13x = 120,848.06 × 120,848.06
  4. Step 4: Simplify right side
    53,596.13x = 14,604,254,210.00
  5. Step 5: Solve for x
    x = 14,604,254,210.00/53,596.13
  6. Step 6: Final answer
    x = 272,487.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.