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Finding the Third Proportional to 57,722.63 and 92,210.06

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Solution

The third proportional to 57,722.63 and 92,210.06 is: 147,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.63 : 92,210.06 = 92,210.06 : x
  2. Step 2: Convert to fraction form
    57,722.63/92,210.06 = 92,210.06/x
  3. Step 3: Cross multiply
    57,722.63x = 92,210.06 × 92,210.06
  4. Step 4: Simplify right side
    57,722.63x = 8,502,695,626.25
  5. Step 5: Solve for x
    x = 8,502,695,626.25/57,722.63
  6. Step 6: Final answer
    x = 147,302.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.