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Finding the Third Proportional to 92,290.50 and 144,587.50

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Solution

The third proportional to 92,290.50 and 144,587.50 is: 226,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,290.50 : 144,587.50 = 144,587.50 : x
  2. Step 2: Convert to fraction form
    92,290.50/144,587.50 = 144,587.50/x
  3. Step 3: Cross multiply
    92,290.50x = 144,587.50 × 144,587.50
  4. Step 4: Simplify right side
    92,290.50x = 20,905,545,156.25
  5. Step 5: Solve for x
    x = 20,905,545,156.25/92,290.50
  6. Step 6: Final answer
    x = 226,518.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.