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Finding the Third Proportional to 101,066 and 156,927.50

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Solution

The third proportional to 101,066 and 156,927.50 is: 243,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,066 : 156,927.50 = 156,927.50 : x
  2. Step 2: Convert to fraction form
    101,066/156,927.50 = 156,927.50/x
  3. Step 3: Cross multiply
    101,066x = 156,927.50 × 156,927.50
  4. Step 4: Simplify right side
    101,066x = 24,626,240,256.25
  5. Step 5: Solve for x
    x = 24,626,240,256.25/101,066
  6. Step 6: Final answer
    x = 243,664.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.