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Finding the Third Proportional to 122,944 and 169,056

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Solution

The third proportional to 122,944 and 169,056 is: 232,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,944 : 169,056 = 169,056 : x
  2. Step 2: Convert to fraction form
    122,944/169,056 = 169,056/x
  3. Step 3: Cross multiply
    122,944x = 169,056 × 169,056
  4. Step 4: Simplify right side
    122,944x = 28,579,931,136
  5. Step 5: Solve for x
    x = 28,579,931,136/122,944
  6. Step 6: Final answer
    x = 232,463.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.