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Finding the Third Proportional to 52,510 and 70,746

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Solution

The third proportional to 52,510 and 70,746 is: 95,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510 : 70,746 = 70,746 : x
  2. Step 2: Convert to fraction form
    52,510/70,746 = 70,746/x
  3. Step 3: Cross multiply
    52,510x = 70,746 × 70,746
  4. Step 4: Simplify right side
    52,510x = 5,004,996,516
  5. Step 5: Solve for x
    x = 5,004,996,516/52,510
  6. Step 6: Final answer
    x = 95,315.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.