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Finding the Third Proportional to 105,130 and 243,129

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Solution

The third proportional to 105,130 and 243,129 is: 562,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,130 : 243,129 = 243,129 : x
  2. Step 2: Convert to fraction form
    105,130/243,129 = 243,129/x
  3. Step 3: Cross multiply
    105,130x = 243,129 × 243,129
  4. Step 4: Simplify right side
    105,130x = 59,111,710,641
  5. Step 5: Solve for x
    x = 59,111,710,641/105,130
  6. Step 6: Final answer
    x = 562,272.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.