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Finding the Third Proportional to 74,628 and 112,664

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Solution

The third proportional to 74,628 and 112,664 is: 170,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,628 : 112,664 = 112,664 : x
  2. Step 2: Convert to fraction form
    74,628/112,664 = 112,664/x
  3. Step 3: Cross multiply
    74,628x = 112,664 × 112,664
  4. Step 4: Simplify right side
    74,628x = 12,693,176,896
  5. Step 5: Solve for x
    x = 12,693,176,896/74,628
  6. Step 6: Final answer
    x = 170,085.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.