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Finding the Third Proportional to 112,896 and 169,335

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Solution

The third proportional to 112,896 and 169,335 is: 253,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,896 : 169,335 = 169,335 : x
  2. Step 2: Convert to fraction form
    112,896/169,335 = 169,335/x
  3. Step 3: Cross multiply
    112,896x = 169,335 × 169,335
  4. Step 4: Simplify right side
    112,896x = 28,674,342,225
  5. Step 5: Solve for x
    x = 28,674,342,225/112,896
  6. Step 6: Final answer
    x = 253,989.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.