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Finding the Third Proportional to 103,110 and 153,688.50

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Solution

The third proportional to 103,110 and 153,688.50 is: 229,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,110 : 153,688.50 = 153,688.50 : x
  2. Step 2: Convert to fraction form
    103,110/153,688.50 = 153,688.50/x
  3. Step 3: Cross multiply
    103,110x = 153,688.50 × 153,688.50
  4. Step 4: Simplify right side
    103,110x = 23,620,155,032.25
  5. Step 5: Solve for x
    x = 23,620,155,032.25/103,110
  6. Step 6: Final answer
    x = 229,077.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.