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Finding the Third Proportional to 52,904 and 70,527

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Solution

The third proportional to 52,904 and 70,527 is: 94,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,904 : 70,527 = 70,527 : x
  2. Step 2: Convert to fraction form
    52,904/70,527 = 70,527/x
  3. Step 3: Cross multiply
    52,904x = 70,527 × 70,527
  4. Step 4: Simplify right side
    52,904x = 4,974,057,729
  5. Step 5: Solve for x
    x = 4,974,057,729/52,904
  6. Step 6: Final answer
    x = 94,020.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.