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Finding the Third Proportional to 59,656 and 128,658

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Solution

The third proportional to 59,656 and 128,658 is: 277,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,656 : 128,658 = 128,658 : x
  2. Step 2: Convert to fraction form
    59,656/128,658 = 128,658/x
  3. Step 3: Cross multiply
    59,656x = 128,658 × 128,658
  4. Step 4: Simplify right side
    59,656x = 16,552,880,964
  5. Step 5: Solve for x
    x = 16,552,880,964/59,656
  6. Step 6: Final answer
    x = 277,472.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.