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Finding the Third Proportional to 92,407.50 and 102,127.50

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Solution

The third proportional to 92,407.50 and 102,127.50 is: 112,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407.50 : 102,127.50 = 102,127.50 : x
  2. Step 2: Convert to fraction form
    92,407.50/102,127.50 = 102,127.50/x
  3. Step 3: Cross multiply
    92,407.50x = 102,127.50 × 102,127.50
  4. Step 4: Simplify right side
    92,407.50x = 10,430,026,256.25
  5. Step 5: Solve for x
    x = 10,430,026,256.25/92,407.50
  6. Step 6: Final answer
    x = 112,869.91

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.