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Finding the Third Proportional to 51,441 and 77,709

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Solution

The third proportional to 51,441 and 77,709 is: 117,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441 : 77,709 = 77,709 : x
  2. Step 2: Convert to fraction form
    51,441/77,709 = 77,709/x
  3. Step 3: Cross multiply
    51,441x = 77,709 × 77,709
  4. Step 4: Simplify right side
    51,441x = 6,038,688,681
  5. Step 5: Solve for x
    x = 6,038,688,681/51,441
  6. Step 6: Final answer
    x = 117,390.58

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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.