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Finding the Third Proportional to 46,008 and 72,090

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Solution

The third proportional to 46,008 and 72,090 is: 112,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008 : 72,090 = 72,090 : x
  2. Step 2: Convert to fraction form
    46,008/72,090 = 72,090/x
  3. Step 3: Cross multiply
    46,008x = 72,090 × 72,090
  4. Step 4: Simplify right side
    46,008x = 5,196,968,100
  5. Step 5: Solve for x
    x = 5,196,968,100/46,008
  6. Step 6: Final answer
    x = 112,957.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.