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Finding the Third Proportional to 46,681 and 70,056

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Solution

The third proportional to 46,681 and 70,056 is: 105,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681 : 70,056 = 70,056 : x
  2. Step 2: Convert to fraction form
    46,681/70,056 = 70,056/x
  3. Step 3: Cross multiply
    46,681x = 70,056 × 70,056
  4. Step 4: Simplify right side
    46,681x = 4,907,843,136
  5. Step 5: Solve for x
    x = 4,907,843,136/46,681
  6. Step 6: Final answer
    x = 105,135.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.