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Finding the Third Proportional to 102,020 and 157,584

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Solution

The third proportional to 102,020 and 157,584 is: 243,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,020 : 157,584 = 157,584 : x
  2. Step 2: Convert to fraction form
    102,020/157,584 = 157,584/x
  3. Step 3: Cross multiply
    102,020x = 157,584 × 157,584
  4. Step 4: Simplify right side
    102,020x = 24,832,717,056
  5. Step 5: Solve for x
    x = 24,832,717,056/102,020
  6. Step 6: Final answer
    x = 243,410.28

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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.