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Finding the Third Proportional to 66,752 and 93,323.50

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Solution

The third proportional to 66,752 and 93,323.50 is: 130,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,752 : 93,323.50 = 93,323.50 : x
  2. Step 2: Convert to fraction form
    66,752/93,323.50 = 93,323.50/x
  3. Step 3: Cross multiply
    66,752x = 93,323.50 × 93,323.50
  4. Step 4: Simplify right side
    66,752x = 8,709,275,652.25
  5. Step 5: Solve for x
    x = 8,709,275,652.25/66,752
  6. Step 6: Final answer
    x = 130,472.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.