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Finding the Third Proportional to 102,076 and 153,216

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Solution

The third proportional to 102,076 and 153,216 is: 229,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076 : 153,216 = 153,216 : x
  2. Step 2: Convert to fraction form
    102,076/153,216 = 153,216/x
  3. Step 3: Cross multiply
    102,076x = 153,216 × 153,216
  4. Step 4: Simplify right side
    102,076x = 23,475,142,656
  5. Step 5: Solve for x
    x = 23,475,142,656/102,076
  6. Step 6: Final answer
    x = 229,977.10

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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.