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Finding the Third Proportional to 113,970 and 153,701.50

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Solution

The third proportional to 113,970 and 153,701.50 is: 207,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,970 : 153,701.50 = 153,701.50 : x
  2. Step 2: Convert to fraction form
    113,970/153,701.50 = 153,701.50/x
  3. Step 3: Cross multiply
    113,970x = 153,701.50 × 153,701.50
  4. Step 4: Simplify right side
    113,970x = 23,624,151,102.25
  5. Step 5: Solve for x
    x = 23,624,151,102.25/113,970
  6. Step 6: Final answer
    x = 207,283.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.