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Finding the Third Proportional to 55,596 and 128,598

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Solution

The third proportional to 55,596 and 128,598 is: 297,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,596 : 128,598 = 128,598 : x
  2. Step 2: Convert to fraction form
    55,596/128,598 = 128,598/x
  3. Step 3: Cross multiply
    55,596x = 128,598 × 128,598
  4. Step 4: Simplify right side
    55,596x = 16,537,445,604
  5. Step 5: Solve for x
    x = 16,537,445,604/55,596
  6. Step 6: Final answer
    x = 297,457.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.