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Finding the Third Proportional to 72,053 and 115,106.25

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Solution

The third proportional to 72,053 and 115,106.25 is: 183,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,053 : 115,106.25 = 115,106.25 : x
  2. Step 2: Convert to fraction form
    72,053/115,106.25 = 115,106.25/x
  3. Step 3: Cross multiply
    72,053x = 115,106.25 × 115,106.25
  4. Step 4: Simplify right side
    72,053x = 13,249,448,789.06
  5. Step 5: Solve for x
    x = 13,249,448,789.06/72,053
  6. Step 6: Final answer
    x = 183,884.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.