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Finding the Third Proportional to 60,076 and 84,506

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Solution

The third proportional to 60,076 and 84,506 is: 118,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,076 : 84,506 = 84,506 : x
  2. Step 2: Convert to fraction form
    60,076/84,506 = 84,506/x
  3. Step 3: Cross multiply
    60,076x = 84,506 × 84,506
  4. Step 4: Simplify right side
    60,076x = 7,141,264,036
  5. Step 5: Solve for x
    x = 7,141,264,036/60,076
  6. Step 6: Final answer
    x = 118,870.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.