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Finding the Third Proportional to 58,326 and 90,066

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Solution

The third proportional to 58,326 and 90,066 is: 139,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,326 : 90,066 = 90,066 : x
  2. Step 2: Convert to fraction form
    58,326/90,066 = 90,066/x
  3. Step 3: Cross multiply
    58,326x = 90,066 × 90,066
  4. Step 4: Simplify right side
    58,326x = 8,111,884,356
  5. Step 5: Solve for x
    x = 8,111,884,356/58,326
  6. Step 6: Final answer
    x = 139,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.