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Finding the Third Proportional to 49,044 and 77,712

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Solution

The third proportional to 49,044 and 77,712 is: 123,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,044 : 77,712 = 77,712 : x
  2. Step 2: Convert to fraction form
    49,044/77,712 = 77,712/x
  3. Step 3: Cross multiply
    49,044x = 77,712 × 77,712
  4. Step 4: Simplify right side
    49,044x = 6,039,154,944
  5. Step 5: Solve for x
    x = 6,039,154,944/49,044
  6. Step 6: Final answer
    x = 123,137.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.