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Finding the Third Proportional to 112,465 and 169,851

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Solution

The third proportional to 112,465 and 169,851 is: 256,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,465 : 169,851 = 169,851 : x
  2. Step 2: Convert to fraction form
    112,465/169,851 = 169,851/x
  3. Step 3: Cross multiply
    112,465x = 169,851 × 169,851
  4. Step 4: Simplify right side
    112,465x = 28,849,362,201
  5. Step 5: Solve for x
    x = 28,849,362,201/112,465
  6. Step 6: Final answer
    x = 256,518.58

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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.