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Finding the Third Proportional to 114,428 and 175,047

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Solution

The third proportional to 114,428 and 175,047 is: 267,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428 : 175,047 = 175,047 : x
  2. Step 2: Convert to fraction form
    114,428/175,047 = 175,047/x
  3. Step 3: Cross multiply
    114,428x = 175,047 × 175,047
  4. Step 4: Simplify right side
    114,428x = 30,641,452,209
  5. Step 5: Solve for x
    x = 30,641,452,209/114,428
  6. Step 6: Final answer
    x = 267,779.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.