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Finding the Third Proportional to 56,744 and 83,547

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Solution

The third proportional to 56,744 and 83,547 is: 123,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744 : 83,547 = 83,547 : x
  2. Step 2: Convert to fraction form
    56,744/83,547 = 83,547/x
  3. Step 3: Cross multiply
    56,744x = 83,547 × 83,547
  4. Step 4: Simplify right side
    56,744x = 6,980,101,209
  5. Step 5: Solve for x
    x = 6,980,101,209/56,744
  6. Step 6: Final answer
    x = 123,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.