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Finding the Third Proportional to 106,688 and 155,646

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Solution

The third proportional to 106,688 and 155,646 is: 227,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688 : 155,646 = 155,646 : x
  2. Step 2: Convert to fraction form
    106,688/155,646 = 155,646/x
  3. Step 3: Cross multiply
    106,688x = 155,646 × 155,646
  4. Step 4: Simplify right side
    106,688x = 24,225,677,316
  5. Step 5: Solve for x
    x = 24,225,677,316/106,688
  6. Step 6: Final answer
    x = 227,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.