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Finding the Third Proportional to 102,484 and 155,090

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Solution

The third proportional to 102,484 and 155,090 is: 234,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,484 : 155,090 = 155,090 : x
  2. Step 2: Convert to fraction form
    102,484/155,090 = 155,090/x
  3. Step 3: Cross multiply
    102,484x = 155,090 × 155,090
  4. Step 4: Simplify right side
    102,484x = 24,052,908,100
  5. Step 5: Solve for x
    x = 24,052,908,100/102,484
  6. Step 6: Final answer
    x = 234,699.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.