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Finding the Third Proportional to 102,248 and 160,428

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Solution

The third proportional to 102,248 and 160,428 is: 251,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248 : 160,428 = 160,428 : x
  2. Step 2: Convert to fraction form
    102,248/160,428 = 160,428/x
  3. Step 3: Cross multiply
    102,248x = 160,428 × 160,428
  4. Step 4: Simplify right side
    102,248x = 25,737,143,184
  5. Step 5: Solve for x
    x = 25,737,143,184/102,248
  6. Step 6: Final answer
    x = 251,712.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.