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Finding the Third Proportional to 110,030 and 148,582

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Solution

The third proportional to 110,030 and 148,582 is: 200,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,030 : 148,582 = 148,582 : x
  2. Step 2: Convert to fraction form
    110,030/148,582 = 148,582/x
  3. Step 3: Cross multiply
    110,030x = 148,582 × 148,582
  4. Step 4: Simplify right side
    110,030x = 22,076,610,724
  5. Step 5: Solve for x
    x = 22,076,610,724/110,030
  6. Step 6: Final answer
    x = 200,641.74

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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.