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Finding the Third Proportional to 105,507 and 249,061.50

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Solution

The third proportional to 105,507 and 249,061.50 is: 587,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507 : 249,061.50 = 249,061.50 : x
  2. Step 2: Convert to fraction form
    105,507/249,061.50 = 249,061.50/x
  3. Step 3: Cross multiply
    105,507x = 249,061.50 × 249,061.50
  4. Step 4: Simplify right side
    105,507x = 62,031,630,782.25
  5. Step 5: Solve for x
    x = 62,031,630,782.25/105,507
  6. Step 6: Final answer
    x = 587,938.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.