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Finding the Third Proportional to 64,320 and 102,348

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Solution

The third proportional to 64,320 and 102,348 is: 162,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,320 : 102,348 = 102,348 : x
  2. Step 2: Convert to fraction form
    64,320/102,348 = 102,348/x
  3. Step 3: Cross multiply
    64,320x = 102,348 × 102,348
  4. Step 4: Simplify right side
    64,320x = 10,475,113,104
  5. Step 5: Solve for x
    x = 10,475,113,104/64,320
  6. Step 6: Final answer
    x = 162,859.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.