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Finding the Third Proportional to 74,547 and 149,031

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Solution

The third proportional to 74,547 and 149,031 is: 297,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,547 : 149,031 = 149,031 : x
  2. Step 2: Convert to fraction form
    74,547/149,031 = 149,031/x
  3. Step 3: Cross multiply
    74,547x = 149,031 × 149,031
  4. Step 4: Simplify right side
    74,547x = 22,210,238,961
  5. Step 5: Solve for x
    x = 22,210,238,961/74,547
  6. Step 6: Final answer
    x = 297,936.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.