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Finding the Third Proportional to 60,029 and 128,953

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Solution

The third proportional to 60,029 and 128,953 is: 277,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,029 : 128,953 = 128,953 : x
  2. Step 2: Convert to fraction form
    60,029/128,953 = 128,953/x
  3. Step 3: Cross multiply
    60,029x = 128,953 × 128,953
  4. Step 4: Simplify right side
    60,029x = 16,628,876,209
  5. Step 5: Solve for x
    x = 16,628,876,209/60,029
  6. Step 6: Final answer
    x = 277,014.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.