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Finding the Third Proportional to 67,752 and 102,127.50

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Solution

The third proportional to 67,752 and 102,127.50 is: 153,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752 : 102,127.50 = 102,127.50 : x
  2. Step 2: Convert to fraction form
    67,752/102,127.50 = 102,127.50/x
  3. Step 3: Cross multiply
    67,752x = 102,127.50 × 102,127.50
  4. Step 4: Simplify right side
    67,752x = 10,430,026,256.25
  5. Step 5: Solve for x
    x = 10,430,026,256.25/67,752
  6. Step 6: Final answer
    x = 153,944.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.