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Finding the Third Proportional to 102,547 and 155,187

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Solution

The third proportional to 102,547 and 155,187 is: 234,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,547 : 155,187 = 155,187 : x
  2. Step 2: Convert to fraction form
    102,547/155,187 = 155,187/x
  3. Step 3: Cross multiply
    102,547x = 155,187 × 155,187
  4. Step 4: Simplify right side
    102,547x = 24,083,004,969
  5. Step 5: Solve for x
    x = 24,083,004,969/102,547
  6. Step 6: Final answer
    x = 234,848.46

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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.