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Finding the Third Proportional to 77,582 and 158,428

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Solution

The third proportional to 77,582 and 158,428 is: 323,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582 : 158,428 = 158,428 : x
  2. Step 2: Convert to fraction form
    77,582/158,428 = 158,428/x
  3. Step 3: Cross multiply
    77,582x = 158,428 × 158,428
  4. Step 4: Simplify right side
    77,582x = 25,099,431,184
  5. Step 5: Solve for x
    x = 25,099,431,184/77,582
  6. Step 6: Final answer
    x = 323,521.32

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.