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Finding the Third Proportional to 103,248 and 158,784

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Solution

The third proportional to 103,248 and 158,784 is: 244,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,248 : 158,784 = 158,784 : x
  2. Step 2: Convert to fraction form
    103,248/158,784 = 158,784/x
  3. Step 3: Cross multiply
    103,248x = 158,784 × 158,784
  4. Step 4: Simplify right side
    103,248x = 25,212,358,656
  5. Step 5: Solve for x
    x = 25,212,358,656/103,248
  6. Step 6: Final answer
    x = 244,192.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.